The \(\alpha _d\)  values of Group IIB elements Zn, Cd and Hg have been measured accurately [1]}, [2]}, [3]} and theoretical calculations based on sophisticated many-body methods agree with the experimental values for the Zn and Hg atoms [4]}, [5]}, [2]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}. However, many calculations show significant deviations from the experimental values for the Cd atom [7]}, [8]}, [9]}. More precise knowledge of polarizabilities in these atoms is quite useful for several fundamental applications. For example, the Cd and Hg atoms from this group are being used as candidates in atomic clocks [16]}, [17]} and a precise knowledge of polarizabilities in these atoms will be required to estimate systematic effects of the atomic clocks. Hg is used to probe violation of parity and time-reversal symmetry violating interactions [18]}, [12]}. As an important application, the knowledge of \(\alpha _d\) , \(\alpha _q\)  and \(B\)  values are needed to construct the polarization potential seen by an external electron (or positron) in the vicinity of an atom in the scattering physics problem as given by [20]}, [21]}
\( V_{\mathrm {pol}}(r)=-\frac{\alpha _{d}}{2 r^{4}}-\frac{\alpha _{q}}{2 r^{6}}+\frac{B}{2 r^{7}}-\cdots .\) 
